Finding the Third Proportional to 339,897 and 714,786

Step by Step Solution

1. Step 1: Write the proportion equation
   339,897 : 714,786 = 714,786 : x
2. Step 2: Convert to fraction form
   339,897/714,786 = 714,786/x
3. Step 3: Cross multiply
   339,897x = 714,786 × 714,786
4. Step 4: Simplify right side
   339,897x = 510,919,025,796
5. Step 5: Solve for x
   x = 510,919,025,796/339,897
6. Step 6: Final answer
   x = 1,503,158.39